When Col. Riggins is in uniform and walks thru the door, a CIB (Combat Infantry Badge) is seen above his ribbons, a moment later it is missing. Then it reappears.
On the bridge, Farah is shown wearing a welding mask, yet when we see her point of view, we see a clear view of the scene in front of her. A welding mask's glass is too dark to see anything but the light off a welding torch, so Farah would be effectively blind.
Over the course of the series Bart is made out to supposedly not know about modern civilization, about things like recordings and the pop industry, hotels or even shampoo, but in this episode she uses a line implying she knows about private jets.